Write two different equations with equal solution sets.
Answer:
x + 8 = 13
3x - 2 = 13
The solution set of both equations is {5}.
Step-by-step explanation:
x + 8 = 13
3x - 2 = 13
For each 15mm of coloured fabric Gavyn uses to make his curtains he also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answer:
Step-by-step explanation:
2cm = 2 * 10 mm
2 cm = 20 mm
for every 15 mm of colored fabric, Gavyn uses 20 cm of white fabric.
The ratio is expressed as white fabric to colored fabric.
Answer: Ratio white to colored = 20 / 15 = 4 / 3
Zoe Swam 25 laps in the pool but this was only 50% of her total swim. How many more laps doe she need to swim?
Answer:
25
Step-by-step explanation:
25
Answer: how many more means subtract so subtract and it will be 25 LLaps
The area of a piece of land is 4,951,000 square meters how is this number of square meters written in scientific notation
Answer:
its 4.951 x 106
Step-by-step explanation:
i took the tfar from k12
The area of a piece of land in scientific notation is 4.95 * 10⁶ square meters
How to determine the area of a piece of land in scientific notationfrom the question, we have the following parameters that can be used in our computation:
Area = 4,951,000 square meters
To write the area in square meters in scientific notation, we have
Area = 4.95 * 1,000,000 square meters
So, we have
Area = 4.95 * 10⁶ square meters
Hence, the area is 4.95 * 10⁶ square meters
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Is the following a statistical question?
In what year did Thomas Jefferson become president of the United States?
it is on ixl
f(x) = 10x–4 and g(x) = 1/2 . What is the value of f(g(6))?
To solve f(g(6)):
⇒ we solve for g(6) first
⇒ then plug the value of g(6) into the 'x' position of f(x)
Let's Solve:
Solve for g(6)[tex]g(6) = \frac{1}{2}[/tex]
2. Plug g(6)'s value into f(x)
[tex]f(g(6))=f(\frac{1}{2} )=10(\frac{1}{2} )-4=5-4=1[/tex]
Thus f(g(6))'s value is 1
Answer: 1
Hope that helps!
Reflect the triangle in the mirror line.
Which of the following shapes are quadrilaterals?
please help asap I'll make brainliest
Explanation:
A quadrilateral has four sides, and each side is a straight line.
Quad = 4
Lateral = side
This means we go for choices A and C.
Choice B is ruled out because of the curved side on the right.
Choice D is ruled out because it has 5 sides instead of 4.
Jason went shopping.
he bought a watch and a pair of trainers for a total price of £53.55
This price includes a 15% loyalty discount.
before the discount, the trainers were priced at £38.
work out the price of the watch before the discount
Answer:
£25
Step-by-step explanation:
100 - 15 = 85
53.55 ÷ 0.85 = 63
63 - 38 = 25
3. A scale drawing of a park is shown.
2.5 in
1.5 in
Scale: 1 in = 15 yd
If the scale is changed from 1 inch to 10 yards, which will be the scale drawing of the park?
A.
3.75 in
2 in
2.25 in
in
3
3 in
1.875 in
2 in
1.125 in
Answer: a
Step-by-step explanation:
Converting using the scale 1 in = 15 yd, we get that the dimensions of the park are 22.5 inches by 37.5 inches.
So, converting this back using 1 inch to 10 yards, we get dimensions of 2.25 inches by 3.75 inches.
A rectangular prism has a base of 15 ft2 and a height of 9 ft. What is the volume of the rectangular prism?
Answer:
135 ft^3
Step-by-step explanation:
Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135
Answer: 135 ft³
Step-by-step explanation:
Volume, when dealing with a rectangular prism, is L * W * H
-> L * W can simplify to the base, as it does in the problem given to us.
V = (L * W) * H
V = B * H
V = 15 * 9
V = 135 ft³
The rectangular prism has a volume of 135 ft³.
Help help pls pls!!!
Answer:
b
Step-by-step explanation:
eg2022
What is the value of x in the equation below?
Answer:
9
Step-by-step explanation:
[tex] \frac{6 + 2x}{4} = 6 \\ 6 + 2x = 6(4) \\ 2x = 24 - 6 \\ x = \frac{18}{2} \\ x = 9[/tex]
B
c
а
A
b
Use the diagram above and round your answer to the nearest hundredth.
If a is 6 in. and ZA = 31°, what is b?
50 PTS!!A right triangle has a leg measuring 16in. And 28in.
What is the length of the hypotenuse?
Round your answer to the nearest tenth.
1)23.0 in.
2)32.2 in.
3)44.0 in.
4)1040.0 in
Answer:
2) 32.2 in (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 inb = 28 inc = hypotenuseSubstituting these values into the formula and solving for c:
[tex]\implies \sf 16^2+28^2=c^2[/tex]
[tex]\implies \sf 256+784=c^2[/tex]
[tex]\implies \sf c^2=1040[/tex]
[tex]\implies \sf c=\pm\sqrt{1040}[/tex]
[tex]\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)[/tex]
As distance is positive, c = 32.2 in (nearest tenth)
Step-by-step explanation :
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\ [/tex]
Here,
The base (BC) is 16 inThe perpendicular (AB) is 28 inThe hypotenuse is AC.[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad AC = 32.24 }}} \\ \\[/tex]
Therefore,
The length of the hypotenuse (AC) is 32.2 in (Rounded to nearest tenth)Complete the square to find the
vertex of this parabola.
x² - 12y - 6x + 5 = 0
?]
-H
Find the volume of each prism. Please help mee and thank you.
Answer:
Step-by-step explanation:
I NEED HELP PLEASE I NEED TO KNOW HOW U GOT THE ANSWER PLEASE
Linear is basically a straight line. It can be increasing or decreasing.
Decreasing is when on the graph, when x increases, y decreases.
On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.
- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.
- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.
Your final answer is B.
This a a vector please help 30 points please brainliest
Answer:
Option #4:
[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]
Step-by-step explanation:
Start With
[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]
1. Pivot Element
[tex]P_{1} =a_{1,1}=5[/tex]
[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]
2. Pivot Element Again
[tex]P_{2} =a_{2,2}=-1[/tex]
[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]
3. Get x1 and x2 Values
[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]
[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]
4. Get Answer
[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]
What strategies do you use when multiplying decimals? Share your thinking using 2-3 sentences. This is an open-ended question so you can put anything you want but make sure it is correct.
Can someone help me…
Answer:
that’s 700 divided by 0.54 or 700 x 0.54
Step-by-step explanation:
Answer:
that’s 700 divided by 0.54 or 700 x 0.54
Step-by-step explanation:
Kendra is a professional diver. She practices between 80-100 dives before every competition. About how many dives will she practice if she has 12 competitions?
Answer:
She will practice about 960-1200 dives before those competitions in total
Step-by-step explanation:
All you have to do is multiply the number of dives by the number of competitions she has.
A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 9
B. 19
C. 5
D. 7
E. 17
F. 11
Answer:
Answer is A and F.
Step-by-step explanation:
To form a triangle the sum of any 2 sides must be greater than the third side.
The answer is not:
B as 5 + 12 < 19
C. as 5+5 < 12
D, as 7 + 5 = 12
E as 5 + 12 = 17
Answer is A and F.
Solve for x. The triangles in each pair are similar.
Step-by-step explanation:
similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.
and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.
so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.
so, DC (50) corresponds to TS (70).
and that means that CB (60) corresponds to SR (11x - 4).
the scaling factor from BCD to RST is 70/50 = 7/5.
that means DC × 7/5 = TS.
and CB × 7/5 = SR :
60 × 7/5 = 11x - 4
12 × 7 = 11x - 4
84 = 11x - 4
88 = 11x
x = 8
The graph of an exponential function f passes through (0,1) and (2,4) as shown.
what is the value of f(6)?
The exponential function is given by f(x) = 2ˣ and the value of f(6) is 64
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential funtion is in the form y = abˣ
At point (0, 1):
1 = ab⁰
a = 1
At point (2, 4):
4 = 1(b)²
b = 2
Hence:
f(x) = 2ˣ
Hence f(6):
f(6) = 2⁶ = 64
The exponential function is given by f(x) = 2ˣ and the value of f(6) is 64
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Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem?
Answer:
4×<=20
×<=5
AAAAA single Cupcake can cost at most $5.
Step-by-step explanation:
what is the value of 1/7x1/7x1/7 so 1/7 to the 3rd power.
Answer:
1/343 = .00291545
Step-by-step explanation:
= 1/(7*7*7) =
The value of the exponential equation is A = ( 1/343 ) = ( 1/7 )³
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 1/7 ) x ( 1/7 ) x ( 1/7 ) be equation (1)
On simplifying the equation , we get
A = ( 1/7 )³
Now , on further simplification , we get
A = ( 1/343 )
And , the value of A = 0.002915
Hence , the exponential equation is A = ( 1/7)³
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What does the slope of the function represent in this situation?
Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.
Slope of a functionSlope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.
The formula for expressing the slope of a function is given as;
f'(x) = f(b)-f(a)/b-a
a and b are the intervals
The slope can also be expressed as a function of its coordinate (x, y)
Slope = y2-y1/x2-x1
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Answer:
the increase in pressure per meter of depth and the next question is the pressure at the oceans surface
Step-by-step explanation:
edge 2022
Find the slant height of a cone of curved surface area 471.3 cm3 and base radius is 10 cm (take pi as 3.142)
Answer:
15
Step-by-step explanation:
471.3 = 3.142×10×H
H= 471.3÷31.42
H=15
how do i answer this question?
Answer:
[tex]f^{-1}[/tex] (59) = 20
Step-by-step explanation:
[tex]f^{-1}[/tex] (x) is the inverse of f(x)
to find the inverse function, let f(x) = y and rearrange to make x the subject.
y = 3x - 1 ( add 1 to both sides )
y + 1 = 3x ( divide both sides by 3 )
[tex]\frac{y+1}{3}[/tex] = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{3}[/tex] , then
[tex]f^{-1}[/tex] (59) = [tex]\frac{59+1}{3}[/tex] = [tex]\frac{60}{3}[/tex] = 20